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    Second Conference ofINTERNATIONAL FORUM ON COMPARATIVEPOLITICAL ECONOMY OF GLOBALIZATION

    The Rate of Surplus Value, the Composition ofCapital, and the Rate of Profit in the Chinese

    Manufacturing Industry: 1978 2005

    Zhang Yu & Zhao FengRenmin University of China

    Paper presented at the Second Annual Conference of the International Forum on theComparative Political Economy of Globalization, 1-3 September 2006, RenminUniversity of China, Beijing, China.

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    The Rate of Surplus Value, the Composition of Capital, and theRate of Profit in the Chinese Manufacturing Industry: 1978

    2005

    Zhang Yu and Zhao Feng

    (Department of Economics, Renmin University of China)

    1. Introduction

    In neoclassical economics, the overall level of rate of profit plays a negligible role inthe determination of the dynamics of a capitalist economy. essentially, in the long-runthe growth rate of a typical capitalist economy is determined by some exogenousfactors: in Solow-type models the exogenous technological progress contributes to themost part of the development, and in the so-called new-growth-theory-type modelsthe exogenous parameters which reflect the subjective preferences and the technologyto produce some accumulable factors (such as human capital, t he diversity of products,the knowledge). (Barro and Sala-i-Martin, 1995; Glyn, 1997 1) And in the short-runthe fluctuations of a capitalist economy are governed by some exogenoustechnological shocks (The real business models), the demand fall bellow the supplyfor the subjective of consumers and investors, or simple by the imperfection of themarket, such as information imperfection, the monopolistic factors etc. (Lucas,1977;Kydland and Prescott,1982; Mankiw and Romer, 1994).

    Contrast to the view of neoclassical tradition, the overall level of rate of profitoccupied a central role in the determination of the dynamics of a capitalist economy inthe classical economics and especially in Marxian tradition theory. (Glyn, 1997;Howard and King, 1990 2) Marx wrote that: the rate of profit is the compelli ng powerof capitalist production, and only such things are produced as yield a profit .3The rateof profit influences the dynamic process of the economy through three main routes.Firstly, the rate of profit reflects the capacity of the capitalist class to accumulatecapital: if the profit rate is considerably high, the capitalist gain more from the pastinvestment and given the propensity to consume there are more fund to invest in thenext period; if the profit rate is relatively low, the capitalist get less from the pastinvestment and given the propensity to consume there are less fund to suffice theinvestment needs of capitalist in the next period. And according to Marxian theory the

    capital accumulation is the main shaper of the economic-social dynamics of thecapitalist economy.Secondly, the level of the rate of profit affects the achievement of the firms to the

    credit. If the level of the profit rate is relatively high, the firm can easily get the creditfrom the financial system and then have greater potential to expand it. Conversely, ifthe level of the profit rate is relatively low, it is hard for the firm to get credit from thefinancial institutions.

    Thirdly, share with the same view with Keynesian economics tradition, the rate of profit figures the expectation of the capitalist. If the profit rate is relatively high, the

    1 Barro and Sala-i-Martin, Economic Growth (1 st edition), ; Glyn, A. , Does Aggregate profitability really matter?,Cambridge Journal of Economics, 1997,21, 593-619.2 M. Howard and J. E. King, The 'second slump'- Marxian theories of crisis after 1973, Review of PoliticalEconomy, 1990,pp267-91.3 Marx, Capital, Vol. 3, pp304.

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    capitalist will be optimistic and given the surplus draw from the business they willincrease the ratio of investment, thus leads to growth; if the profit rate is relatively low,the capitalist will have pessimistic expectation about the future and then reduce theinvestment on the production, then leads to stagnation.

    Thus to Marxian theory, the performance of capitalist economies depends above

    all else on the overall level of the rate of profit. When the rate of profit is relative high,the capitalist economy is prosperous: business investment is high, unemployment isrelatively low, and the living standards of workers generally rise. However, whenthe rate of profit is low, prosperity turns into stagnation and depression: investment islow or nonexistent, unemployment is high, and living standards decline. (Moseley,2003)

    2. An Overview of Previous Studies

    Since the overall level of the rate of profit plays such an important role in thedynamics of the capitalist system, generations of Marxist economists pay a mass ofattentions to study the movement of the rate of profit. We can roughly divide thosestudies into two categories, one is theoretical study and another is empirical ones,although almost each study contains both sides. We will review them successively.

    2.1 Theories of the Movement of Rate of Profit

    To make our review more traceable, wed better to review some basic points in theMarxian theory.i. Value-create and Value-transfer: in the analysis framework of Marxian theory,

    there are tow kinds of movement of value in the production process, one is thevalue-transfer process in which the value imbedded in the production meansand rare materials is transferred into the new product, and another isvalue-create process in which the workers create new value through their useof labor power. The new created value is distributed between capitalist andworkers, the part distribute to workers is used to recover the used labor powerand the part to capitalist is the only source of profit to capitalist as a whole.Thus we can divide the value of the new product into three part: one is torecover the consume of the product means and rare materials and we call thisconstant capital(we label this part as , because the value of those materialsdo not increase and just transferred in the production process), one is to

    recover the use of labor power and we call this variable capital(we label this part as , just because the consume of the labor power can bring capitalistmore value than he invest on the buy of labor power), and the one which iscreated by the workers and draw by capitalist as profit is surplus value(welabel this part as ). In a more complex capitalist system the surplus value isthe source of other kinds of income, such as interest income, corporation tax,and dividend.

    c

    v

    s

    ii. The surplus value, thus profit for capitalist can only be created through thecapitalist production by labor power. To perform the production, the capitalistmust firstly can get the product means, rare material and labor power in themarket.

    iii. The purpose of capitalist production is to get more and more profit, then afterthe process of marketing of production means, rare materials and labor power

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    and the process of production, capitalist must sell out those products and getthe money. If capitalists can not realize the value (include the surplus value)in the market, not only they can not recover the material used in the production

    process and pay wages to workers, but also they have no fund to finance theirfurther expand-activities. And because the value is quality-indifferent and only

    quantity-different, the capitalist who act as the anthropomorphized-capitalhave to reinvest into the capitalist production.

    iv. There are kinds of contradictions contained in the processes described above.Firstly, the capitalist must compete with the workers in the areas of labormarket and production process. Secondly, the capitalist must compete witheach other in the areas of factor markets and product markets. And thirdly, thecapitalist have to compete with the state and international capitalist. All thosecompetitions can affect the production and realization of the surplus value(profit).

    We can summaries those points in the framework of the diagram of capital circulation:

    {)(' M M M Q

    L

    P M

    sale process productionbuy

    +=

    321321

    To draw profit from the capitalist production system, capitalist must guarantee thecapital get through the three stages successively and fluently. And further this kinds ofcirculation must not be fulfilled once but be done time after time. Any thing caninfluence one or more stages of those processes can influence the rate of profit.Actually different theories on the movement of the rate of profit just emphasizesdifferent influent factor which affect different stage in the capital circulate process.

    Stage 1:Prepare for the capitalist

    production

    Stage 2: Produce the new productand at the same time transfer and create new value

    Stage 3: Realization of value of roduct

    2.1.1 Rising Organic Composition of Capital as the Main Cause of Falling Rateof Profit

    In the Vol. III of Capital, Marx discusses the general movement tendency of the rateof profit in a typical capitalist economy. This tendency was termed by Marx as thethe law of the tendency of the rate of profit to fall. 4 To Marx himself this law may

    be in every respect the most important law of the modern political economy andthe most essential one for understanding the most complicated relationship. It is themost important law from the historical standpoint. 5 Marx focus his argument onthe second stage of the circulation of capital, that is the production stage. This isconsistent with Marxs method that the production plays a crucial role in a socialsystem.

    4 Marx, Capital, Vol. III, Part III5 Marx, Grundrisse, http://www.marxists.org/archive/marx/works/download/pdf.htm

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    Marxs arguments follow: in the capitalist system, the most essential relationship isthe relationship between capitalist class and working class and this relationship isessentially antagonistic. This antagonistic relationship roots deep into the capitalist

    production process: the use of workers labor power is the only source of the newcreated value, and what the capitalist get is just what the workers create and exceeds

    the value of the labor power. That is the relationship between them is exploit relation.In the term of modern game theory, the relationship between them in the problem ofdividing-new-created-value is zero-sum game. To be dominating in the process ofdividing the new created value, the capitalist must control the production proce ss. Andthis effort leads to a progressive mechanization of the process of production. 6 In theterm of Marxian theory this process is called the rising organic composition of capital.And this leads to the rate of profit to fall: if we define the rate of profit as the ratio ofthe surplus value to the advanced value of the capitalist in the first stage,

    vcs

    r +=

    All variables are measured in real unit. After some algebraic arrangement, we will geta new formula

    ( )( )vc

    vsr +

    =1

    The term ( vs ) is the rate of surplus value, and ( )vc is the measure of the organiccomposition of capital. Given the rate of surplus value, a rise in the organiccomposition of capital leads the rate of profit to decrease. Derivate both sides ofabove formula with time, we get

    ( ) ( )

    = vcvsr This means that the movement of the rate of profit is governed by the relativemovement of the rate of surplus value and the organic composition of capital. Eventhe rate of surplus value increases with the process of mechanization, the rate of profitwill decline if the ratio of the organic composition of capital increases is larger thanthat of the rate of surplus value. 7 Marx himself also enumerates six factors which act as the contracting causes to thefalling tendency of the rate of profit, such as cheapening of the elements of theconstant capital, raising the intensity of exploitation, depression of wages below theirvalue, reserve army of the labor power, foreign trade and the increases of stock capital. Even though those factors can counteract the influence of the rising organiccomposition of capital on the rate of capital, this influence will eventually overcomethem and leads the rate of profit to fall.So we can classify Marxs argument which emphasizes the rising organic compositionof capital as the one which focus the structure change in the process of the secondstage of the circulation of capital. 8

    6 In Communist Manifesto (1848) , Marx wrote: the bourgeoisie cannot exist without constantly revolutionizing theinstruments of the production, and thereby the relations of production and with them the whole relation of society .And in Capital he deepens this insight.7 Shaikh (1978) provide another argument: the rate of profit, ( ) ( )vcsr += , definitely have a upper limit

    csr maxmax = . If increases infinitely, then will fall. And then we can expect the rate of profit willtrend to fall. This argument was criticized by Van Parijs (1980) who insisted that the upper limit trend to fall needs

    not contradict with a rising tendency of the real rate of profit(this rate is quite different with ).

    c maxr

    maxr 8 Like Marxs other famous arguments, the theory of rising organic composition of capital bears a lots of criticisms.One of the most important criticisms is termed as the Okishio theorem (Roemer, 1979; Bowles, 1981). The

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    2.1.2 Profit-Squeeze as the Main Cause of Falling Rate of Profit

    The argument of theories of profit-squeeze shifts its focus from the second stage ofthe circulation of capital to the first sta ge of the circulation, i.e. from the area of

    production to the area of distribution. 9The logic of those theories is essentially

    simple.We can redefine the rate of profit as the ratio of the total revenue of the capitalist tothe rate of the value of the advanced capital. And further we assume that the value ofthe workers labor power is recovered after the value of the production have realized,i.e. the advanced capital is not include variable capital. So we can write the rate of

    profit as

    K R

    r =

    in which the variables R and K denote to the total profit and total constant capital(advanced capital to buy machine and rare materials). After some algebraicarrangement, we get a new formula

    K Y

    Y W

    K Y

    Y W Y

    K Y

    Y R

    r

    =

    == 1

    in which the variables andW Y denote the total income of the workers and the

    total new added-value in the process of production. ThusY W

    is the share of the

    working class in the national distribution. AndK Y

    can be interpreted as the

    productivity of the capital and similar to the term of organic composition of capital. It

    is clear that the rate of profit is in inverse proportion to the variableY

    W and in

    proportion toK Y

    .

    And among the two variables,Y W

    and K Y

    , which can affect the rate of profit, the

    theories of profit-squeeze believe that the raisingY W

    is the main cause of the falling

    of the rate of profit. And this raisingY W

    is rooted in the relative increase strength of

    the working class. This relative increase in the strength of working class roots in thechange of the social-economic structure of the capitalist system.

    Not like the neoclassical economics, the wage share in the national income is notmerely determined by the exogenous given preference and technology in theframework of Marxian theory. Rather the its determination is a social-economic

    process, many social factors can influence it, such as: (1). the reserve army of labor, ifthere exist abundant of unemployed workers, the relative strength, thus relative wage

    theorem said that it to be impossible for a cost-reducing innovation to lower the rate of profit withoutsimultaneously increasing the real wage. To defense Marxs argument, the orthodox Marxist economists extent thetheorem and made it clear that under some condition (such as the joint production and the existence of reservearmy of labor) the profit rate will fall with the development of technology. (Shaikh ,1978; Salvadori,1981; Lipietz,1986)9 Profit-squeeze explanation of falling rate of profit rise mainly in the late of 1970s. See Glyn and Sutcliffe (1972)Boddy and Crotty (1975) and Weisskopf (1979).

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    share in the national income is low; (2). the solidarity of the working class, if theworking class unites firmly, the relative strength, thus relative wage share in thenational income is high. (3). the cost of lost job, 10 the larger the cost, the relativeweaker strength of the working class, and the relative low share of wage in thenational income. With the raising strength of working class, the working class makes

    the distribution move along their favorable direction. And if the growth of the share ofwage bill in the national income overcomes the growth rate of the productivity of thecapital, the rate of profit will inevitably fall.

    2.1.3 Realization Problem as the Main Cause of the Falling Rate of Profit

    The third effort to explain the movement of the rate of profit focuses on the third stageof the circulation of capital, i.e. the realization of the created value. As we havementioned above it will cause very serious consequences that the product cannot saleout on the market: on the one hand, the value transferred from the used rare materialsand depreciated machines and the advanced wage bills can not be recovered, on theother hand, the new created surplus value contained in the products can not realizedand this leads the income of the capitalist to fall and so do the rate of profit. We can

    prove this argument as follows:Let us redefine the rate of profit as the rate of realized surplus value to the totaladvanced capital:

    V C S

    r +=

    in which is the proportion of product that have been soled. It is clear that the rateof profit increase with the raising of .This kind of argument have to explain why will fall below 1. We can divide those

    explanations into two categories. One is termed as the underconsumptionist theoryand the other is termed as the coordination failure theory. Both of them can tracedirectly back to Marx himself.(1). Underconsumptionist explanation: Marx writes Always remains the poverty and restricted consumption of the masses as compared

    to the tendency of capitalist production to develop the productive force in such a way,that only the absolute power of consumption of the entire society would be their limit.(Capital, Vol. III)To make the effective demand equal to the ever-grows production, the growth rate ofthem must be same. But in the capitalist system the individual capitalist always trendsto low the growth of the wage bill and thus limits the growth of the workers, and this

    inevitabl y leads to the effective demand of the society fall below the aggregatedemand. 11

    (2). Coordination failure explanation: in the volume two of Capital , Marx constructs asimple two-sector reproduction scheme to illustrate the conditions that must befulfilled so as to guarantee the operation of the capitalist system. And since thecharacter of a typical capitalist system is that individual capitalist bears no authority

    10 Schor (1985). This factor is a measure of the dependence of worker on capitalist. And it is a function of manyfactors, such as unemployment rate, the probability to find another job after quit from the old, the benefit from thegovernment and insurance company for unemployment, etc.11 Sweezy (1942) is the main supporter of underconsumption theory. According to him, the tendency of under-consumption will become more acute when the capitalist system transfers from competitive to monopolistic.Marxian brand of underconsumption theory which emphasizes the effect of the class structure on the effectivedemand differs from the Keynesian one which emphasizes the effect of subjective propensity of the generalconsumers on the effective demand.

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    but the law of the value. This suggests that there is not mechanisms to guarantee thoseconditions are being achieved automatically. And for the capitalist production has theinternal impulse to expand itself, and this leads to the output of some sectors can notsatisfy the need of other sector and can not realize the value embodied in their

    products. And this further leads those sectors to decrease their demand on m achines,

    rare materials and labor powers, and eventually cause the fall of rate of profit.12

    2.1.4 The Increasing Use of Unproductive Labors as the Main Cause of theFalling Rate of Profit

    This kind of explanation of the movement of the rate of profit focus mainly onstructure of the circulation of capital as a whole. The concepts of productive labor a nd unproductive labor are based on the labor theory of value of Marxian economics. 13 According to Marx, only those labor which are involved in the capitalist production isthe productive labor, and capitalist production refers to those activities which

    produce, transport or store commodities. In the framework of Marxian theory, only productive labor can transfers the value embedded in the production materials andcreates new value (include surplus value). And the unproductive labor involvescirculating activities and supervising activities and this kind of activities do nottransfer old value or create new value. The even the value of those materials and thelabor power involved in those activities must be recovered by the surplus valuetransfer from the productive sectors.To simplify the analysis we assume that the only factor needed by unproductiveactivities is labor power and the wage bills are paid after the value of the commoditieshave been realized. Thus we redefine the rate of profit as

    C

    U S

    C

    Rr

    ==

    in which R denotes the conventional profit received by capitalist class as a whole,and it is equal to the total surplus value created by productive labor ( ) minus thevalue to recover the consumed labor power ( ). Dividing numerator anddenominator by the variable capital in the productive sectors ( V ), then we get

    S U

    ( ) ( )( )V C

    V U V S r

    =

    It is clear that given the rate of surplus value and organic composition of capital, therate of profit declining with the rising ratio of unproductive labor to productive labor.Generally, the works of Moseley (1992; 2003), Shaikh and Tonak (1994), and Mohun

    (2005) do not concern more details why the ratio of unproductive labor to productivelabor has to rise in a capitalist economy. But we can give this argument a reasonableexplanation in the framework of Marxian theory:(1). since essentially the production relation between capitalist and workers isantagonistic, to exploit more surplus value from the production process, capitalist triesto control those process through more and more detail divisions of labor in the factorysystem in two directions: in landscape orientation they divide the whole production

    process into a system of successi ve pieces of tasks; in longitudinal direction they tryto construct a bureaucratic-ladder. 14 And this inevitably leads the supervision cost and

    12 This kind of argument receives little support after the world war two. 13 This kind of argument receives more and more attention since 1990s with the works of Moseley (1992; 2003),Shaikh and Tonak (1994), and Mohun (2005), concerned with theoretical analysis and empirical estimations.14 Marglin (1974) and Edwards (1979) are the best references in the field.

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    management cost to increase.(2). since the capitalist system characterized by a automatically self-regulation systemin the most period of its development, as mentioned above, realizing the producedvalue and financing the further investment become more and more important tocapitalist, so more and more resources are invest into the circulating activities and

    financial service.

    2.2 Marxian Empirical Investigations into the Movement of the Rate of Profit

    Although the movement of the rate of profit plays a very central role in thedetermination of the dynamics of a typical capitalist economy in the Marxianeconomics, the Marxian economists do not study its actual movement and causesempirically until 1970s when the post-war prosperity came to an end suddenly. 15 Thissections aim is two folded: Firstly, we seek to review the main difficulties in theempirical estimation of Marxian categories; secondly, we try to review the mainempirical conclusion draw from the previous studies.

    2.2.1 The Difficulties to Put Marxian Law Testable

    When the Marxian economists try to use available official data to in vestigate themovement of the rate of profit and its causes, we face several difficulties: 16

    (1). Labor time or Money: it is not problematic when we restrict ourselves in the areaof theoretical discussions. In Marxian theoretical literatures all va riables are measuredin the value unit which is determined by the standard labor time. 17 But actually in thenational accounting system every variable is measured in money unit. It is unrealisticto transfer those money-measured variables into labor-time-measured ones. Andactually all empirical studies define Marxian categories in money unit.(2). Only capitalist production or all production : it is also not problematic when werestrict ourselves in the area of theoretical discussions. What Marxian economicsconcerned is the dynamics of a capitalist system. But there is no pure capitalisteconomy at all. There are non-capitalist production (including government production,household production and simple commodity production) as well as capitalist one.Should we account that non-capitalist production when we measure correspondingvariables? Actually there is no general accepted method especially when it isconcerned government production and simple commodity production. It will causemore difficulties when we measure corresponding categories of developing countries(such as China).

    (3). Should we distinguish unproductive activities from productive activities : thisinvolves with how to define the magnitude of surplus value, profit, variable andconstant capital. To our purpose the main problem is whether the wage bill of workersof unproductive sector is considered as variable capital or as a part of surplus value.As same as the problem (2), different scholars have different methods in empiricalstudies and this leads to quite different conclusions.(4). How to define variable capital : it is not as simple as it looks like to define

    15 May be Joseph M. Gillmans monograph, The Falling Rate of Profit-Marxs Law and Its Significance toTwentieth Century Capitalism ,(London, Dennis Dobson, 1957) is a excellent exception, in which he use the officialdata of U.S. to test the trend and causes of the Marxian rate of profit16 Here, we will only treat of several main problems briefly. To those who wants to know more details concernabout this problem, Moseley (1992), Shaikh and Tonak (1994), are good references.17 The term standard refers to that the commodity is produced under socially average technology and averagelabor intensity. See Marx, Capital , Vol. I.

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    variable capital. Should the government tax on the workers be considered as a part ofvariable capital? Should the government subsidies to worker be counted as a part ofvariable capital? Fortunately the taxes and subsidies are all relative small and onlyhave insignificant effect on the empirical outcomes.

    2.2.2 Some Important Empirical Estimations

    Most of empirical studies have concentrated on the experiences of advanced capitalisteconomy and further most of them concerned with the post-war period. We do notattempt to review all those literatures but to cover some representative studies.

    (1). What those studies share

    All of those studies share follow findings and maybe we can call them the styled-factsin Marxian theory about the dynamics of capitalist:i. All of those studies agree that the dynamics of the capitalist economy is

    determined by the overall level of the rate of profit. When the rate of profit isrelatively high, the growth rate of the capitalist economy is high; when the rateof profit is relatively low, the growth rate of it is also low.

    ii. All of those studies agree that the stagnation and depression of capitalist worldafter 1970s is not as sudden as it looks like, just as what the neoclassicaltheories alleged that it was the consequence of some sudden shocks, such asthe oil supply shock, the mistakes of monetary authority. But it was theconsequence of the long-run decline of the overall level of rate of profit.Recently the relative resurgence of advanced capitalist economy is alsostimulated by the relative recovery of the rate of profit at the cost of the benefitof working class.

    iii. To those studies which tempt to explain the Great Depression, it was also thelong-term decline of rate of profit that caused the economic tragedy.

    Those findings give Marxian theory strongly empirical supports.

    (2). The divarication under the common consensus

    As we have described above there are several different theories to explain why the profit rate would eventually decline. Each of them received some empirical supports.i. Lipietz (1986), Dumenil and Levy (1993, 2002) may be the main contributions

    which emphasized the rising organic composition of capital (the decline of

    productivity of capital) contribute mainly the post-war falling of rate of profit.And Michl (1988) thought that the decline of profit rate in the period of1972-1986 mainly caused by the decline of productivity of capital.

    ii. James Devine (1983) explained the Great Depression by the declining share of profit which leads the rate of profit to fall. Glyn and Sutcliffe (1972),Weisskopf (1979), Bowles, Gordon , and Weisskopf (1986), Weisskopf ,Bowles , and Gordon (1983) and Weisskopf (1992) are the main works whichconsider the decline of the share of profit in national income is the main causeof the post-war dynamics of advanced capitalist economy. To make theirargument more reasonable those scholars constructed a theory that is termed asthe theory of social structure of accumulation. And to explain recent

    resurgence of capitalist world the scholars in this theoretical tradition, such asKotz (2003) and Wolfson (2003), consider the main cause is the resurgence of

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    the power of capitalist class which makes the share of profit increasing.iii. The underconsumptionist theory receives nearly little support by Marxian

    economists except Paul Sweezy (1982). Dumcnil, Glick, and Rangel (1987)thought that the main cause of the Great Depression (1929-1933) isunderconsumption of the society which is caused by the rising share of profit

    limit the consumption capacity of working class.iv. By the works of Moseley (1992; 2003), Shaikh and Tonak (1994), and Mohun

    (2005), the conception of productive/ unproductive labor (activities) resumesthe important position in Marxian theory. To them, the main contributor to thedecline of rate of profit is the increasing ratio of unproductive labor to

    productive labor since post-war. And the increasing organic composition ofcapital is also a important cause in explanation the profit rates decline(Moseley). Recent rising of rate of profit is mainly caused by the increasingrate of surplus rate, but the trend is also offset by the continuous increase ofratio of unproductive labor to productive labor (Moseley, 1997).

    v. As mentioned above almost all empirical studies were focus on theexperiences of advanced capitalist economy, especially the experience of

    post-war U.S. economy. There are several studies concentrated on thedeveloping countries or transitional economy. 18 All of them show that theMarxian theory is a powerful tool to understand the experiences of thoseeconomies.

    3. Empirical Investigation into Chinese Economy (Manufacturing Industry) inthe Framework of Marxian Theory

    3.1 The Methodological Problems in Applying Marxian Theory to AnalyzeChinese Economy

    In applying Marxian theory to analyze the dynamics of Chinese economy, we have toface some methodological problems. The main one is that whether we can use thosetraditional Marxian categories, such as the rate of surplus, the rate of profit, the valueof labor power et al, to analyze a Socialist economy, such as China? Our argument isthat after nearly 30 years of economic reform since 1978, China has establishe d amarket-oriented economic system in which the law of value of course is valid. 19

    Secondly, the development experiences of China since 1978 is special. The transitionof Chinese economy is two-folded: on the one hand, China has to fulfill the task ofindustrialization which is characterized by transform from an economy in which the

    traditional agricultural sector occupied the dominating component to one in which themodern industrial and informational sectors are the main contributor of the economy;on the other hand, China has to transform from traditional central planning system tomodern market-oriented economy. Those characters leads that Chinese economy ischaracterized a dual one in which some important parts is not profit-oriented

    production, such as most part of agricultural production, the government production etal. So we focus our analysis on the industrial sectors, especially the formal one.Thirdly, as mentioned above, there are several concepts which have special meaningsto Marxian analysis, such as the distinctions between productive labor (activities) and

    18 Marina and Moseley (2000) for Mexico economy; Lianos (1992) and Maniatis (2005) for Greece economy; andIzyumov and Alterman (2005) for Russia economy.19 Sun YeFang (1979), Shehui zhuyi jinji de ruogan lilun wenti (Some Problems of the Socialist Economy), renmin

    press.

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    unproductive labor (activities), but we have to neglect them due to the lack ofappropriate statistical data in the manufacturing sector and at the level of economy asa whole..

    3.2 The Analytical Framework and Definitions of Corresponding Variables

    According the theoretical review at previous section, the dynamics of the economy ismainly determined by the overall level of rate of profit, and the rate of profit is furtherdetermined by some underlying variables: the rate of surplus, the organic compositionof capital, the share of profit in the new created value. In this section we give thosevariables a strict definition.The rate of profit is defined as the ratio of profit to the total capital:

    k pK r

    k

    ==

    in which is the capital stock in manufacturing industry valued in constant price,

    is the inverse of the price deflator of capital,

    k

    k p K is capital stock valued in current price, is the total profit valued in current price.The rate of surplus is defined as the ratio of total profit to total worker compensation

    lwW s

    ==

    in which is the total worker compensation, is the average labor income forworker, and is the total employment in manufacturing industry. And we candecompose the rate of surplus into two factors

    W wl

    lV

    wV W V

    V W s === 1

    in which V is the value-added. And the first term is the share of profit in all newcreated value; the second is the inverse of average worker compensation; the third is ameasure of productivity of labor.The definition of organic composition of capital is more complex. It may be the mostdisrupted concept among Marxian categories. On the one hand, it is defined as theratio of constant capital to variable capital, all in value terms, on the other hand it isquite different from the value composition of capital and its movement is determined

    by the change of technology of production process. We just simply define the ratio ofconstant capital to variable capital valued in current price as organic composition ofcapital, and the ratio of constant capital to variable capital valued in constant price astechnical composition of capital

    lwk p

    W K k

    == andlk =

    in which and are organic and technical composition of capital respectively, theorganic composition is not only effected by the technical composition of capital, andalso is affected by the relative price between constant capital and labor power.From those definitions we can get one basic equations that can help us understandingthe movement of rate pf profit in the Marxian framework

    s pw

    k l

    r k

    =

    the first term is the inverse of technical composition of capital, the second is thereverse of relative price between capital and labor, the last is rate of surplus.

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    3.3 The Trend of Rate of Profit, the Growth Rate of Real GDP and Value-addedin Manufacturing Industry

    (1). The trend of rate of profit

    The trend of rate of profit is shown in Figure 1.

    0.00

    0.05

    0.10

    0.15

    0.20

    0.25

    0.30

    0.35

    0.40

    1 9 7 8

    1 9 7 9

    1 9 8 0

    1 9 8 1

    1 9 8 2

    1 9 8 3

    1 9 8 4

    1 9 8 5

    1 9 8 6

    1 9 8 7

    1 9 8 8

    1 9 8 9

    1 9 9 0

    1 9 9 1

    1 9 9 2

    1 9 9 3

    1 9 9 4

    1 9 9 5

    1 9 9 6

    1 9 9 7

    1 9 9 8

    1 9 9 9

    2 0 0 0

    2 0 0 1

    2 0 0 2

    2 0 0 3

    2 0 0 4

    rate of profit

    Figure 1 the Trend of Rate of Profit 1978 2004

    We can divide the trend of rate of profit into three periods. The first period is from1978 to 1988. In this period, the rate of profit had a very slight trend to decline. In factit fluctuated between 38% and 31% in those years. The second period is from 1989 to1998 in which the rate of profit declined relative sharply. It declined from 2 6% in1989 to 13% in 1998. The third period is from 1999 to 2004 in which the rate of profitincreased steadily. The rate of profit increased from 19% to 31% which near its peaklevel in 1978.

    (2) The Trends of Rate of Profit and the Growth Rate of Real GDP

    According to Marxian theory, the dynamics of the economy is mainly determined by

    the overall level of rate of profit. This argument received many empirical supportsfrom the experiences of advanced capitalist economies, developing capitalisteconomies and transitional economy. Does it valid in a market-oriented Socialisteconomy? The trends of rate of profit and the growth rate of real GDP are shown inFigure 2.Firstly, we can see from Fig.2 that before 1984, in the initial period of reform, thegeneral level of rate of profit had nearly no direct effect on the growth of real GDP.With the deepening of economic reform process, the co-movement between the rate of

    profit and the growth of real GDP became more and more clear. And the movement ofrate of profit keeps ahead of the growth rate of real GDP relatively.In the period from 1984 to 1990 when the rate of profit declined almost a half, from35% to 19%, the growth rate of real GDP declined 74%, from 15% in 1984 to 4% in1990. And in the period from 1993 to 1998 when the rate of profit decreased smoothly

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    from 21% to 13%, the growth of real GDP declined from 13% to 8% in 1998 and 7%in 1999. When the rate of profit increased slowly in the late of 1990s, the overallgrowth rate is also recovered steadily.The louses of rate of profit and growth rate of real GDP show a strong empiricalsupport what we argue for that the Marxian categories can be applied to analyze

    Chinese economy. And the relationship between them is fairly fit what the theory predicts.

    0.00

    0.05

    0.10

    0.15

    0.20

    0.25

    0.30

    0.35

    0.40

    1 9 7 8

    1 9 7 9

    1 9 8 0

    1 9 8 1

    1 9 8 2

    1 9 8 3

    1 9 8 4

    1 9 8 5

    1 9 8 6

    1 9 8 7

    1 9 8 8

    1 9 8 9

    1 9 9 0

    1 9 9 1

    1 9 9 2

    1 9 9 3

    1 9 9 4

    1 9 9 5

    1 9 9 6

    1 9 9 7

    1 9 9 8

    1 9 9 9

    2 0 0 0

    2 0 0 1

    2 0 0 2

    2 0 0 3

    2 0 0 4

    rate of profit growth rate of real GDP

    Figure 2 the Trend of Rate of Profit and the Growth Rate of Real GDP

    3.4 The Deconstructing the Trend in Rate of Profit

    Last section show us the locus of rate of profit and its effect on the fluctuation of thegrowth rate of real GDP. In this section we will try to explore the underling factorsaffect the movement of rate of profit in the framework of Marxian theory.

    (1). the technical and organic composition of capital

    Despite Marx himself mentioned many factors which can have effect on the rate of profit, he did emphasize the organic composition of capital plays a central role in the

    determination of the profitability. As showed in the last equation in section 3.2, therate of profit will decrease with the increase of organic composition of capital. Asshown in Figure 3, the organic composition only has a very slight trend to declinefrom 1978 to 2004. Especially in the period between 1990 and 2002, the organiccomposition of capital fluctuated around 3 in a very small range. So the factor oforganic composition of capital contributed little to the fluctuation in rate of profitfrom 1978 and 2004.The organic composition of capital is determined by to underlying factors, thetechnical composition of capital and the ratio of relative price between labor andcapital, in our definition. And from 1978 to 2004, the level of industrialization ofChina increased dramatically. This can be clearly found in Figure 3. The locus of

    technical composition of capital increased steadily in this period, except the last twoyears. But the effect of increasing technical composition of capital is offset by

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    increasing ratio of average worker compensation to inverse of deflator of capital. Thisleads us to focus on the trend of rate of surplus value.

    0.00

    1.00

    2.00

    3.00

    4.00

    5.00

    6.00

    1 9 7 8

    1 9 8 0

    1 9 8 2

    1 9 8 4

    1 9 8 6

    1 9 8 8

    1 9 9 0

    1 9 9 2

    1 9 9 4

    1 9 9 6

    1 9 9 8

    2 0 0 0

    2 0 0 2

    2 0 0 4

    c o m p o s i

    t i o n o

    f c a p

    i t a l

    0.00

    0.50

    1.00

    1.50

    2.00

    2.50

    3.00

    r a

    t i o o

    f a v e r a g e w o r k e r c o n p e n s a t

    i o n

    t o i n v e r s e o

    f d e f

    l a t o r o f c a p

    i t

    organic composition of capital

    technical composition of capital

    ratio of average worker copensation to inverse of deflator of capital

    Figure 3 the Trend of Organic and Technical Composition of Capital, and theRelative Price, 1978-2004

    (2) The Rate of Surplus value and its decomposition

    The trend of rate of surplus value is shown in Figure 4.

    0.00

    0.20

    0.40

    0.60

    0.80

    1.00

    1.20

    1.40

    1.60

    1 9 7 8

    1 9 8 0

    1 9 8 2

    1 9 8 4

    1 9 8 6

    1 9 8 8

    1 9 9 0

    1 9 9 2

    1 9 9 4

    1 9 9 6

    1 9 9 8

    2 0 0 0

    2 0 0 2

    2 0 0 4

    rate of surplus

    Figure 4 the Rate of Surplus from 1978-2004

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    It is shown that we can divide the period from 1978 to 2004 into two sub-periods. Inthe first sub-periods, from 1978 to 1998. At the initial year of the first sub-period, therate of surplus value is relatively steady, and after that time, it declined quickly from1.35 in 1983 to 0.4 in 1998. And its decline attributed mainly to the decline in rate of

    profit in this period. After 1998 the rate of surplus value increased gradually and this

    cause the rate of profit rising correspondingly.Since the fluctuations in rate of profit attributed mainly to the up and down of rate ofsurplus value, how itself was affected by the underlying factors? The analyticalframework constructed above shows that the rate of surplus value is determined bythree underlying factors: the share of profit in value-added (+), the average workercompensation (-), and the productivity of labor (+). The symbols in blankets refer tothe direction of effect of those factors on the rate of surplus. Their trends in this periodare shown in Figure 5.

    0.00

    1.00

    2.00

    3.00

    4.00

    5.00

    6.00

    7.00

    8.00

    9.00

    10.00

    1 9 7 8

    1 9 8 0

    1 9 8 2

    1 9 8 4

    1 9 8 6

    1 9 8 8

    1 9 9 0

    1 9 9 2

    1 9 9 4

    1 9 9 6

    1 9 9 8

    2 0 0 0

    2 0 0 2

    2 0 0 4

    0.00

    0.10

    0.20

    0.30

    0.40

    0.50

    0.60

    0.70

    t h e s h a r e o

    f p r o

    f i t

    r

    a b o

    v i t y o

    f l

    u c t

    i

    r o d

    n / p

    s a t i o

    e n

    m p

    r c o

    r k e

    w o

    the average worker compensation the productivity of labor

    the share of profit

    Figure 5 the Share of Profit, the Average Worker Compensation and theProductivity of Labor, 1978-2004

    The productivity of labor and average worker compensation both increased steadily, but the divergence between them became more and more great. The change of shareof profit can be divided into three parts: from 1978 to 1983, it nearly did not change;and then in the sequential period, it declined from 57% in 1983 to 28% in 1998,nearly decreased 30%; and from 1998 to now, the share of profit increased lowly,from 28% to 41% in 2004, recover nearly a half of previous decline.Then how do those factors affect the change of rate of surplus value? From 1978 tothe middle of 1990s, since the divergence between the productivity of labor and theaverage worker compensation is neglectable, the change in the rate of surplus valueattributed mainly to the decline in the share of profit. And in the sequential period, therise of surplus value attributed to two factors: firstly, in this period the declining trend

    of share of profit was inversed and this contributed a great part of the recovery of rateof surplus value, hence the rate of profit; and the divergence between productivity and

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    compensation of labor also contributed a large part of the rise of rate of surplus value,from 1998 to 2004 the productivity increased nearly 187%, however the averageworker compensation increased only 134%.

    IV. Conclusion

    The movement of overall level of rate of profit determine the up and down of aeconomy. And in the framework of Marxian theory, the movement of profit rateattributes mainly to three classes of factors: the first is the technical factors, such asthe technical composition of capital, the productivity of labor; the second isdistributional and price factors, such as the share of profit, the average workercompensation; the last is the structural factors, such as the ratio of productive labor tounproductive labor, the demand constraint. Different theory argues for different factoras the most essential one that contributes mainly to the movement of profitability.In this paper we use the data of Chinese manufacturing industry from 1978 to 2004 totest the movement of rate of profit and its underlying determinants. Our main finds arefollowing:(1). the rate of profit in manufacturing industry is a fairly good indicator for thegrowth rate of real GDP. We argue that this rate of profit is a fairly good substitutorfor the overall level of rate of profit which can not be estimated accurately for lack ofappropriate data in macroeconomic level.(2). in the period from 1978 to 1998, the rate of profit declined from 38% to 13%.And in the sequential period, it resurged gradually.(3). the organic composition of capital which had no systematical up or down trend inthe period contributed little to the fluctuation of the rate of profit. Despite thetechnical composition of capital increased sharply, the relative decline of capital priceoffset its effect.(4). the decline and sequential resurgence of rate of profit attributed to the change inthe rate of surplus value.(5). the decline of rate of surplus value, hence the rate of profit from 1978 to 1998attributed mainly to the decline in the share of profit. But its resurgence from 1998 to2004 affected by two main factors: firstly, the increasing in the share of profit remain

    played an important role in this process; secondly, in this period the increase of productivity of labor overcame the inverse-direction effect of rising workercompensation on the rate of surplus.The empirical investigation support the Marxian argument that the performance ofcapitalist economies depends above all else on the overall level of the rate of profit.

    But not support other arguments of Marx himself, such as the decline of rate of profit,and the rising organic composition of capital as a main cause of this decline. On thecontrary, the organic composition had no systematical trend and the fluctuation in rateof profit attributed mainly to the change in rate of surplus value.Of course our estimation also has some limitations. Maybe the most serious one is thatwe limit our estimation in manufacturing industry only. The second is that we do notconsider the different between unproductive labor and productive labor which is veryimportant to estimate the Marxian categories. The last one is that we do not estimatethe effect of effective demand on the rate of profit. It is affirmative that we includethose factors into our analysis and this is also the aim of our further studies.

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    Appendix

    In this appendix we give the explicit definition of some critical variables. Because oflack of systematical dada for the whole economy and the whole manufacturingindustry, we have to use the data of those enterprises with independent accountingsystem (before 1998, and above formal level after 1999). All data are available fromthe official website of Bureau of Chinese Statistic.Constant Capital : we define constant capital as the overall net value of fixed asset.Variable Capital : we define the variable capital as the overall worker compensation,including all wage bills and other fringe income from work. For lack of appropriatedata, we have to estimate this variable by value-added minus the total profit.Profit : we define it as the sum of sales tax and extra charges, total profits and valueadded tax payable. In fact we should include the interest payment of the enterprises,

    but there has no systematical corresponding data available from official data base.Value Added : it refers to the final results of industrial production of the industrial tradein money term during the reference period.Profit Rate : we define it as the ratio of Profit to constant capital.

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